典型文献
On Iterative Algorithm and Perturbation Analysis for the Nonlinear Matrix Equation
文献摘要：
In this study,an iterative algorithm is proposed to solve the nonlinear matrix equation X+A*eXA=In.Explicit expressions for mixed and componentwise condition numbers with their upper bounds are derived to measure the sensitivity of the considered nonlinear matrix equation.Comparative analysis for the derived condition numbers and the proposed algorithm are presented.The proposed iterative algorithm reduces the number of iterations significantly when incorporated with exact line searches.Componentwise condition num-ber seems more reliable to detect the sensitivity of the considered equation than mixed condition number as validated by numerical examples.
文献关键词：
中图分类号：
作者姓名：
Chacha Stephen Chacha
作者机构：
Department of Mathematics,Physics and Informatics,Mkwawa University College of Education,P.O.Box 2513,Iringa,Tanzania
文献出处：
引用格式：
[1]Chacha Stephen Chacha-.On Iterative Algorithm and Perturbation Analysis for the Nonlinear Matrix Equation)[J].应用数学与计算数学学报,2022(03):1158-1174
A类：
X+A,eXA,componentwise,Componentwise
B类：
On,Iterative,Algorithm,Perturbation,Analysis,Nonlinear,Matrix,Equation,In,this,study,iterative,algorithm,proposed,solve,nonlinear,matrix,equation,Explicit,expressions,mixed,condition,numbers,their,upper,bounds,are,derived,measure,sensitivity,considered,Comparative,analysis,presented,reduces,iterations,significantly,when,incorporated,exact,searches,seems,more,reliable,detect,than,validated,by,numerical,examples
AB值：
0.532258
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